Question

Given a sector of a circle has an area of 40.8 square inches and a radius of 8 inches. What is the measure central angle of the circle round to the nearest degree?

Answer 1

Answer: 287 degree

Explanation:

Area of a sector = θ/360 x pi r^2

Where pi = 22/7

Given that the

area = 40.8 square inches

radius = 8 inches

40.8 = θ/360 × 3.143 × 8 × 8

θ = (360 × 40.8)/201.06

θ = 73 degree

The measure of the central angle of the circle = 360 - θ

= 360 - 73

= 287 degree

Answer 2

Answer: The measure of the central angle of the circle is 73°

Step-by-step explanation: Please see the attachments below